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viva [34]
3 years ago
15

How is the graph of y = -3x^2 – 8 different from the graph of y = –3x^2 ?

Mathematics
2 answers:
vladimir1956 [14]3 years ago
6 0
C. It is shifted 8 units down
german3 years ago
5 0
The answer should be C- shifted 8 units down. Hope this helps! :)
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a tank is 1/6 full of gasoline. If 8 litres are added it would be 1/4 full. how many litres does the tank hold?
shtirl [24]
Find a common denominator between the two

1/6 - 2/12
1/4 - 3/12

3/12 - 2/12 because 2/12 is what you started with

= 1/12

If 1/12 is 8 litres, it’s 8 x 12 = 96

The tank can hold 96 litres.
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Match the expression to its value.​
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Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

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Read 2 more answers
A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
Paraphin [41]

Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

The solutions are:

x=3i,\:x=-3i

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

5 0
3 years ago
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